(n-1)(n-2)(n-3)(n-4)(n-5)(n-6)(n-7)=0

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Solution for (n-1)(n-2)(n-3)(n-4)(n-5)(n-6)(n-7)=0 equation: 


Simplifying
(n + -1)(n + -2)(n + -3)(n + -4)(n + -5)(n + -6)(n + -7) = 0

Reorder the terms:
(-1 + n)(n + -2)(n + -3)(n + -4)(n + -5)(n + -6)(n + -7) = 0

Reorder the terms:
(-1 + n)(-2 + n)(n + -3)(n + -4)(n + -5)(n + -6)(n + -7) = 0

Reorder the terms:
(-1 + n)(-2 + n)(-3 + n)(n + -4)(n + -5)(n + -6)(n + -7) = 0

Reorder the terms:
(-1 + n)(-2 + n)(-3 + n)(-4 + n)(n + -5)(n + -6)(n + -7) = 0

Reorder the terms:
(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n)(n + -6)(n + -7) = 0

Reorder the terms:
(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(n + -7) = 0

Reorder the terms:
(-1 + n)(-2 + n)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0

Multiply (-1 + n) * (-2 + n)
(-1(-2 + n) + n(-2 + n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
((-2 * -1 + n * -1) + n(-2 + n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
((2 + -1n) + n(-2 + n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(2 + -1n + (-2 * n + n * n))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(2 + -1n + (-2n + n2))(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0

Combine like terms: -1n + -2n = -3n
(2 + -3n + n2)(-3 + n)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0

Multiply (2 + -3n + n2) * (-3 + n)
(2(-3 + n) + -3n * (-3 + n) + n2(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
((-3 * 2 + n * 2) + -3n * (-3 + n) + n2(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
((-6 + 2n) + -3n * (-3 + n) + n2(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(-6 + 2n + (-3 * -3n + n * -3n) + n2(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(-6 + 2n + (9n + -3n2) + n2(-3 + n))(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(-6 + 2n + 9n + -3n2 + (-3 * n2 + n * n2))(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0
(-6 + 2n + 9n + -3n2 + (-3n2 + n3))(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0

Combine like terms: 2n + 9n = 11n
(-6 + 11n + -3n2 + -3n2 + n3)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0

Combine like terms: -3n2 + -3n2 = -6n2
(-6 + 11n + -6n2 + n3)(-4 + n)(-5 + n)(-6 + n)(-7 + n) = 0

Multiply (-6 + 11n + -6n2 + n3) * (-4 + n)
(-6(-4 + n) + 11n * (-4 + n) + -6n2 * (-4 + n) + n3(-4 + n))(-5 + n)(-6 + n)(-7 + n) = 0
((-4 * -6 + n * -6) + 11n * (-4 + n) + -6n2 * (-4 + n) + n3(-4 + n))(-5 + n)(-6 + n)(-7 + n) = 0
((24 + -6n) + 11n * (-4 + n) + -6n2 * (-4 + n) + n3(-4 + n))(-5 + n)(-6 + n)(-7 + n) = 0
(24 + -6n + (-4 * 11n + n * 11n) + -6n2 * (-4 + n) + n3(-4 + n))(-5 + n)(-6 + n)(-7 + n) = 0
(24 + -6n + (-44n + 11n2) + -6n2 * (-4 + n) + n3(-4 + n))(-5 + n)(-6 + n)(-7 + n) = 0
(24 + -6n + -44n + 11n2 + (-4 * -6n2 + n * -6n2) + n3(-4 + n))(-5 + n)(-6 + n)(-7 + n) = 0
(24 + -6n + -44n + 11n2 + (24n2 + -6n3) + n3(-4 + n))(-5 + n)(-6 + n)(-7 + n) = 0
(24 + -6n + -44n + 11n2 + 24n2 + -6n3 + (-4 * n3 + n * n3))(-5 + n)(-6 + n)(-7 + n) = 0
(24 + -6n + -44n + 11n2 + 24n2 + -6n3 + (-4n3 + n4))(-5 + n)(-6 + n)(-7 + n) = 0

Combine like terms: -6n + -44n = -50n
(24 + -50n + 11n2 + 24n2 + -6n3 + -4n3 + n4)(-5 + n)(-6 + n)(-7 + n) = 0

Combine like terms: 11n2 + 24n2 = 35n2
(24 + -50n + 35n2 + -6n3 + -4n3 + n4)(-5 + n)(-6 + n)(-7 + n) = 0

Combine like terms: -6n3 + -4n3 = -10n3
(24 + -50n + 35n2 + -10n3 + n4)(-5 + n)(-6 + n)(-7 + n) = 0

Multiply (24 + -50n + 35n2 + -10n3 + n4) * (-5 + n)
(24(-5 + n) + -50n * (-5 + n) + 35n2 * (-5 + n) + -10n3 * (-5 + n) + n4(-5 + n))(-6 + n)(-7 + n) = 0
((-5 * 24 + n * 24) + -50n * (-5 + n) + 35n2 * (-5 + n) + -10n3 * (-5 + n) + n4(-5 + n))(-6 + n)(-7 + n) = 0
((-120 + 24n) + -50n * (-5 + n) + 35n2 * (-5 + n) + -10n3 * (-5 + n) + n4(-5 + n))(-6 + n)(-7 + n) = 0
(-120 + 24n + (-5 * -50n + n * -50n) + 35n2 * (-5 + n) + -10n3 * (-5 + n) + n4(-5 + n))(-6 + n)(-7 + n) = 0
(-120 + 24n + (250n + -50n2) + 35n2 * (-5 + n) + -10n3 * (-5 + n) + n4(-5 + n))(-6 + n)(-7 + n) = 0
(-120 + 24n + 250n + -50n2 + (-5 * 35n2 + n * 35n2) + -10n3 * (-5 + n) + n4(-5 + n))(-6 + n)(-7 + n) = 0
(-120 + 24n + 250n + -50n2 + (-175n2 + 35n3) + -10n3 * (-5 + n) + n4(-5 + n))(-6 + n)(-7 + n) = 0
(-120 + 24n + 250n + -50n2 + -175n2 + 35n3 + (-5 * -10n3 + n * -10n3) + n4(-5 + n))(-6 + n)(-7 + n) = 0
(-120 + 24n + 250n + -50n2 + -175n2 + 35n3 + (50n3 + -10n4) + n4(-5 + n))(-6 + n)(-7 + n) = 0
(-120 + 24n + 250n + -50n2 + -175n2 + 35n3 + 50n3 + -10n4 + (-5 * n4 + n * n4))(-6 + n)(-7 + n) = 0
(-120 + 24n + 250n + -50n2 + -175n2 + 35n3 + 50n3 + -10n4 + (-5n4 + n5))(-6 + n)(-7 + n) = 0

Combine like terms: 24n + 250n = 274n
(-120 + 274n + -50n2 + -175n2 + 35n3 + 50n3 + -10n4 + -5n4 + n5)(-6 + n)(-7 + n) = 0

Combine like terms: -50n2 + -175n2 = -225n2
(-120 + 274n + -225n2 + 35n3 + 50n3 + -10n4 + -5n4 + n5)(-6 + n)(-7 + n) = 0

Combine like terms: 35n3 + 50n3 = 85n3
(-120 + 274n + -225n2 + 85n3 + -10n4 + -5n4 + n5)(-6 + n)(-7 + n) = 0

Combine like terms: -10n4 + -5n4 = -15n4
(-120 + 274n + -225n2 + 85n3 + -15n4 + n5)(-6 + n)(-7 + n) = 0

Multiply (-120 + 274n + -225n2 + 85n3 + -15n4 + n5) * (-6 + n)
(-120(-6 + n) + 274n * (-6 + n) + -225n2 * (-6 + n) + 85n3 * (-6 + n) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n) = 0
((-6 * -120 + n * -120) + 274n * (-6 + n) + -225n2 * (-6 + n) + 85n3 * (-6 + n) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n) = 0
((720 + -120n) + 274n * (-6 + n) + -225n2 * (-6 + n) + 85n3 * (-6 + n) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n) = 0
(720 + -120n + (-6 * 274n + n * 274n) + -225n2 * (-6 + n) + 85n3 * (-6 + n) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n) = 0
(720 + -120n + (-1644n + 274n2) + -225n2 * (-6 + n) + 85n3 * (-6 + n) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n) = 0
(720 + -120n + -1644n + 274n2 + (-6 * -225n2 + n * -225n2) + 85n3 * (-6 + n) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n) = 0
(720 + -120n + -1644n + 274n2 + (1350n2 + -225n3) + 85n3 * (-6 + n) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n) = 0
(720 + -120n + -1644n + 274n2 + 1350n2 + -225n3 + (-6 * 85n3 + n * 85n3) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n) = 0
(720 + -120n + -1644n + 274n2 + 1350n2 + -225n3 + (-510n3 + 85n4) + -15n4 * (-6 + n) + n5(-6 + n))(-7 + n) = 0
(720 + -120n + -1644n + 274n2 + 1350n2 + -225n3 + -510n3 + 85n4 + (-6 * -15n4 + n * -15n4) + n5(-6 + n))(-7 + n) = 0
(720 + -120n + -1644n + 274n2 + 1350n2 + -225n3 + -510n3 + 85n4 + (90n4 + -15n5) + n5(-6 + n))(-7 + n) = 0
(720 + -120n + -1644n + 274n2 + 1350n2 + -225n3 + -510n3 + 85n4 + 90n4 + -15n5 + (-6 * n5 + n * n5))(-7 + n) = 0
(720 + -120n + -1644n + 274n2 + 1350n2 + -225n3 + -510n3 + 85n4 + 90n4 + -15n5 + (-6n5 + n6))(-7 + n) = 0

Combine like terms: -120n + -1644n = -1764n
(720 + -1764n + 274n2 + 1350n2 + -225n3 + -510n3 + 85n4 + 90n4 + -15n5 + -6n5 + n6)(-7 + n) = 0

Combine like terms: 274n2 + 1350n2 = 1624n2
(720 + -1764n + 1624n2 + -225n3 + -510n3 + 85n4 + 90n4 + -15n5 + -6n5 + n6)(-7 + n) = 0

Combine like terms: -225n3 + -510n3 = -735n3
(720 + -1764n + 1624n2 + -735n3 + 85n4 + 90n4 + -15n5 + -6n5 + n6)(-7 + n) = 0

Combine like terms: 85n4 + 90n4 = 175n4
(720 + -1764n + 1624n2 + -735n3 + 175n4 + -15n5 + -6n5 + n6)(-7 + n) = 0

Combine like terms: -15n5 + -6n5 = -21n5
(720 + -1764n + 1624n2 + -735n3 + 175n4 + -21n5 + n6)(-7 + n) = 0

Multiply (720 + -1764n + 1624n2 + -735n3 + 175n4 + -21n5 + n6) * (-7 + n)
(720(-7 + n) + -1764n * (-7 + n) + 1624n2 * (-7 + n) + -735n3 * (-7 + n) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n)) = 0
((-7 * 720 + n * 720) + -1764n * (-7 + n) + 1624n2 * (-7 + n) + -735n3 * (-7 + n) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n)) = 0
((-5040 + 720n) + -1764n * (-7 + n) + 1624n2 * (-7 + n) + -735n3 * (-7 + n) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n)) = 0
(-5040 + 720n + (-7 * -1764n + n * -1764n) + 1624n2 * (-7 + n) + -735n3 * (-7 + n) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n)) = 0
(-5040 + 720n + (12348n + -1764n2) + 1624n2 * (-7 + n) + -735n3 * (-7 + n) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n)) = 0
(-5040 + 720n + 12348n + -1764n2 + (-7 * 1624n2 + n * 1624n2) + -735n3 * (-7 + n) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n)) = 0
(-5040 + 720n + 12348n + -1764n2 + (-11368n2 + 1624n3) + -735n3 * (-7 + n) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n)) = 0
(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + (-7 * -735n3 + n * -735n3) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n)) = 0
(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + (5145n3 + -735n4) + 175n4 * (-7 + n) + -21n5 * (-7 + n) + n6(-7 + n)) = 0
(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + 5145n3 + -735n4 + (-7 * 175n4 + n * 175n4) + -21n5 * (-7 + n) + n6(-7 + n)) = 0
(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + 5145n3 + -735n4 + (-1225n4 + 175n5) + -21n5 * (-7 + n) + n6(-7 + n)) = 0
(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + 5145n3 + -735n4 + -1225n4 + 175n5 + (-7 * -21n5 + n * -21n5) + n6(-7 + n)) = 0
(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + 5145n3 + -735n4 + -1225n4 + 175n5 + (147n5 + -21n6) + n6(-7 + n)) = 0
(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + 5145n3 + -735n4 + -1225n4 + 175n5 + 147n5 + -21n6 + (-7 * n6 + n * n6)) = 0
(-5040 + 720n + 12348n + -1764n2 + -11368n2 + 1624n3 + 5145n3 + -735n4 + -1225n4 + 175n5 + 147n5 + -21n6 + (-7n6 + n7)) = 0

Combine like terms: 720n + 12348n = 13068n
(-5040 + 13068n + -1764n2 + -11368n2 + 1624n3 + 5145n3 + -735n4 + -1225n4 + 175n5 + 147n5 + -21n6 + -7n6 + n7) = 0

Combine like terms: -1764n2 + -11368n2 = -13132n2
(-5040 + 13068n + -13132n2 + 1624n3 + 5145n3 + -735n4 + -1225n4 + 175n5 + 147n5 + -21n6 + -7n6 + n7) = 0

Combine like terms: 1624n3 + 5145n3 = 6769n3
(-5040 + 13068n + -13132n2 + 6769n3 + -735n4 + -1225n4 + 175n5 + 147n5 + -21n6 + -7n6 + n7) = 0

Combine like terms: -735n4 + -1225n4 = -1960n4
(-5040 + 13068n + -13132n2 + 6769n3 + -1960n4 + 175n5 + 147n5 + -21n6 + -7n6 + n7) = 0

Combine like terms: 175n5 + 147n5 = 322n5
(-5040 + 13068n + -13132n2 + 6769n3 + -1960n4 + 322n5 + -21n6 + -7n6 + n7) = 0

Combine like terms: -21n6 + -7n6 = -28n6
(-5040 + 13068n + -13132n2 + 6769n3 + -1960n4 + 322n5 + -28n6 + n7) = 0

Solving
-5040 + 13068n + -13132n2 + 6769n3 + -1960n4 + 322n5 + -28n6 + n7 = 0

Solving for variable 'n'.

The solution to this equation could not be determined.

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